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Finding the Third Proportional to 15,397 and 33,147

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Solution

The third proportional to 15,397 and 33,147 is: 71,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,397 : 33,147 = 33,147 : x
  2. Step 2: Convert to fraction form
    15,397/33,147 = 33,147/x
  3. Step 3: Cross multiply
    15,397x = 33,147 × 33,147
  4. Step 4: Simplify right side
    15,397x = 1,098,723,609
  5. Step 5: Solve for x
    x = 1,098,723,609/15,397
  6. Step 6: Final answer
    x = 71,359.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.